Online GCD Calculator is useful to find the GCD of 272, 956, 931, 309 quickly. Get the easiest ways to solve the greatest common divisor of 272, 956, 931, 309 i.e 1 in different methods as follows.
Given Input numbers are 272, 956, 931, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (272, 956, 931, 309) = 1.
Given numbers are 272, 956, 931, 309
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 956 are 2 x 2 x 239
Prime factors of 931 are 7 x 7 x 19
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 956, 931, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 956) = 65008
GCD(272, 956) = ( 272 x 956 ) / 65008
= 272 / 956
= 272
Step2:
LCM(4, 931) = 3724
GCD(4, 931) = ( 4 x 931 ) / 3724
= 4 / 931
= 4
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 272, 956, 931, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 956, 931, 309
The greatest common divisor of numbers 272, 956, 931, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 956, 931, 309 is 1.
1. What is the GCD of 272, 956, 931, 309?
GCD of given numbers 272, 956, 931, 309 is 1
2. How to calculate the greatest common divisor of 272, 956, 931, 309?
We can find the highest common divisor of 272, 956, 931, 309 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 272, 956, 931, 309 i.e 1.
3. How can I use the GCD of 272, 956, 931, 309Calculator?
Out the numbers 272, 956, 931, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.